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Finding the Fourth Proportional to 261.93, 393.46 and 159.26

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Solution

The fourth proportional to 261.93, 393.46 and 159.26 is: 239.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.93 : 393.46 = 159.26 : x
  2. Step 2: Convert to fraction form
    261.93/393.46 = 159.26/x
  3. Step 3: Cross multiply
    261.93x = 393.46 × 159.26
  4. Step 4: Simplify right side
    261.93x = 62,662.44
  5. Step 5: Solve for x
    x = 62,662.44/261.93
  6. Step 6: Final answer
    x = 239.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.